An owner of laundromat considers installing solar panels. The installation would cost $$8,000$ today. Once installed, the solar panels are expected to bring $$9,500$ as a benefit one year from now due to savings on electricity bills. The interest rate is $9\%$ per year.

$($a$)$ What is the NPV of this opportunity? According to the NPV rule, is it worth investing? $[4$ points$]$

$($b$)$ Suppose that the owner has no cash in hand. Instead, the owner tries to finance the purchase by borrowing money from a bank with the promise to repay $$9,500$ in one year. What is the resulting cash flow from the opportunity and the bank loan combined? Present the table listing actions and cash flows today and year one. PLEASE SHOW WORK.